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Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of…

Statistical Mechanics · Physics 2015-06-24 Nora Menyhard , Geza Odor

The dynamical response of spin-S (S=1, 3/2, 2, 3) Ising ferromagnet to the plane propagating wave , standing magnetic field wave and uniformly oscillating field with constant frequency are studied separately in two dimensions by extensive…

Statistical Mechanics · Physics 2017-12-15 Ajay Halder , Muktish Acharyya

The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: $J$ is a coupling constant in the Ising models and $U$ describes the strength of the interaction between them. In the ferromagnetic case $J,U>0$ on the…

Probability · Mathematics 2023-01-26 Yacine Aoun , Moritz Dober , Alexander Glazman

We study critical and magnetic properties of a bilayer Ising system consisting of two triangular planes A and B, with the antiferromagnetic (AF) coupling $J_{\rm A}$ and the ferromagnetic (FM) one $J_{\rm B}$ for the respective layers,…

Statistical Mechanics · Physics 2017-09-07 Milan Žukovič , Yusuke Tomita , Y. Kamiya

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

Statistical Mechanics · Physics 2013-01-23 Ike Q. Sikakana

We perform simulations of random Ising models defined over small-world networks and we check the validity and the level of approximation of a recently proposed effective field theory. Simulations confirm a rich scenario with the presence of…

Disordered Systems and Neural Networks · Physics 2015-03-13 A. L. Ferreira , J. F. F. Mendes , M. Ostilli

We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic…

Statistical Mechanics · Physics 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

We theoretically investigate the effects of time-dependent electromagnetic fields on frustrated magnets with the spatial inversion symmetry. Two types of external-field setups are considered: One is a circularly polarized electromagnetic…

Strongly Correlated Electrons · Physics 2025-11-18 Tatsuya Shirato , Ryota Yambe , Satoru Hayami

Site diluted spin-1/2 Ising and spin-1 Blume Capel (BC) models in the presence of transverse field interactions are examined by introducing an effective-field approximation that takes into account the multi-site correlations in the cluster…

Statistical Mechanics · Physics 2011-11-15 Ümit Akıncı , Yusuf Yüksel , Hamza Polat

Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility,…

Statistical Mechanics · Physics 2023-07-19 M. Borovský , M. Žukovič , A. Bobák

We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the…

Statistical Mechanics · Physics 2011-01-04 William D. Baez , Trinanjan Datta

The dynamical Ising model under the effect of the amplitude modulated time dependent periodic magnetic field has been solved by using EFT with Glauber type of stochastic process. Several cases with amplitude modulation have been…

Statistical Mechanics · Physics 2019-06-26 Ümit Akıncı

We consider the surface critical behaviour of diagonally layered Ising models on the square lattice where the inter-layer couplings follow some aperiodic sequence. The surface magnetisation is analytically evaluated from a simple formula…

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Peter Lajko

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

Condensed Matter · Physics 2015-06-25 Muktish Acharyya

Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed…

Statistical Mechanics · Physics 2007-05-23 Michael Kastner

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of…

Condensed Matter · Physics 2007-05-23 M. Holtschneider , W. Selke

The critical behaviour of 3-dimensional disordered systems with magnetic field is investigated by analyzing the spectral fluctuations of the energy spectrum. We show that in the thermodynamic limit we have two different regimes, one for the…

Condensed Matter · Physics 2009-10-22 E. Hofstetter , M. Schreiber